Solve 8-33/5+21/2=

$$8-3 \frac{ 3 }{ 5 } +2 \frac{ 1 }{ 2 } =$$

Evaluate

$$\frac{69}{10}=6.9$$

Solution Steps

Multiply 3 and 5 to get 15.

$$8-\frac{15+3}{5}+\frac{2\times 2+1}{2}$$

Add 15 and 3 to get 18.

$$8-\frac{18}{5}+\frac{2\times 2+1}{2}$$

Convert 8 to fraction \frac{40}{5}.

$$\frac{40}{5}-\frac{18}{5}+\frac{2\times 2+1}{2}$$

Since \frac{40}{5} and \frac{18}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-18}{5}+\frac{2\times 2+1}{2}$$

Subtract 18 from 40 to get 22.

$$\frac{22}{5}+\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{22}{5}+\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{22}{5}+\frac{5}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{22}{5} and \frac{5}{2} to fractions with denominator 10.

$$\frac{44}{10}+\frac{25}{10}$$

Since \frac{44}{10} and \frac{25}{10} have the same denominator, add them by adding their numerators.

$$\frac{44+25}{10}$$

Add 44 and 25 to get 69.

$$\frac{69}{10}$$

Factor

$$\frac{3 \cdot 23}{2 \cdot 5} = 6\frac{9}{10} = 6.9$$